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arxiv: 1807.08785 · v1 · pith:P4RUAAGOnew · submitted 2018-07-23 · 🧮 math.OC

A Study on the Strong Duality of Conic Relaxation of AC Optimal Power Flow in Radial Networks

classification 🧮 math.OC
keywords networkspowerconditionsdualityflowradialstrongaddition
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This paper proposes a set of closed-form conditions to ensure the strong duality of second-order cone program (SOCP) formulation for AC power flow in radial power networks. In addition, numerical evaluations on IEEE 33-bus test networks and a real-world distribution network are performed to demonstrate the validity of the proposed conditions.

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